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The process of renormalization to eliminate divergences arising in quantumfield theory is not uniquely defined; one can always perform a finiterenormalization, rendering finite perturbative results ambiguous. Theconsequences of making such finite renormalizations have been examined in thecase of there being one or two couplings. In this paper we consider how finiterenormalizations can affect more general models in which there are more thantwo couplings. In particular, we consider the Standard Model in which there areessentially five couplings. We show that in this model (when neglecting allmass parameters) if we use mass independent renormalization, then therenormalization group beta-functions are not unique beyond one loop order, thatit is not in general possible to eliminate all terms beyond certain order forall these beta-functions, but that for a physical process all contributionsbeyond one loop order can be subsumed into the beta-functions.

Renormalization Scheme Ambiguities in the Models with More than One Coupling